Rigid body dynamics

A solid cylinder of mass M=1kg and radius R=0.5m is pivoted at its centre and has three particles of mass m=0.1 kg mounted at its perimeter as shown in figure.The system is originally at rest.Find the angular speed of the cylinder,when it has swung through 90 degree in anticlockwise direction.

2 Answers

1
Sonne ·

this is easy

use energy conservation for the system
i.e

12Isysω2=mnetgΔhcm

u shud then get the answer

1
Sonne ·

I_{net}=\frac{0.25}{2}+0.3*0.25=0.2

0.1\omega^2=1.3*0.39\\ \omega=2.23

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